Santiago is eight years younger than Juan is today. If, in four years, Santiago will be half Juan’s age, how old is Santiago today? a) 1 b) 2 c) 3 d) 4

Answer:

m = 0.421

Step-by-step explanation:

5.4(m-2)= -2(3m+3)     (expand parentheses by distributive property)

m(5.4) -2(5.4) = 3m(-2) + 3(-2)

5.4m - 10.8 = -6m - 6      (add 6m to both sides)

5.4m - 10.8 + 6m =  - 6

11.4m - 10.8 =  - 6   (add 10.8 to both sides)

11.4m = -6 + 10.8

11.4m = 4.8   (divide both sides by 11.4)

m = 4.8 / 11.4

m = 0.421

Answer:

m = 8/19

Step-by-step explanation :

5.4  (m-2) = -2 (3m +3)  

54/10 (m-2) = (3m +3)   as n = 1

2.3^3 /  2.5  (m-2) = (3m + 3)

4.868 (m-2) = (3m +3)

4.868 + 3 = (3m^2 * m-2)

8 / 9.5 * 2  

m = 8 / 19

Answer:

Step-by-step explanation:

Answer:

[tex]\huge\boxed{-\frac{3}{25} }[/tex]

Step-by-step explanation:

-0.12 in fraction form can be written as:

=> - 12/100

=> - 6 / 50

=> - 3/25

Answer:

[tex]\large \boxed{\mathrm{A. \ -3/25}}[/tex]

Step-by-step explanation:

Convert the decimal to a fraction.

-(0.12) = -(12/100)

Simplify the fraction.

-(12/100) = -(6/50) = -(3/25)

Answer:

202.5 cm^2

Step-by-step explanation:

We can calculate the area of the shape by completing it

to a full rectangle or dividing it to a rectangle and triangle.

The second way seems easier

The area of the rectangle is calculated by multiplying length to width

20 × 9 = 180 cm^2

The area of a triangle is calculated by multiplying height to the base and that divided by two

5 × 9 ÷ 2 = 22.5 cm^2

Now add these two 180 + 22.5 = 202.5 cm^2

Answer:

202.5 cm squared

Step-by-step explanation:

To find the area of this figure easier, you can cut the figure like I showed in the attachment below.

The rectangle (purple): 20 times 9 is 180.

The right triangle (light blue): 9 times 5 times 1/2 is 22.5.

All together: 180 plus 22.5 is 202.5 cm squared!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Answer:

Step-by-step explanation:

for each positive integer m, so that la - r2m-ll and la - r2m I are both less than

1 1

Ir2m - r2m-ll .:::: 42(m-l) Ir2 - rll = 24m - 3 ·

It follows that limn--->oo rn = limn--->oo rn-l = a. Taking limits in the recursion in

(d) leads to

1

a=I+--

l+a

which reduces to a 2 = 2. Since rn > 0 for each n, a > O.

Answer:

Step-by-step explanation:

You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:

Hope this helps!

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.

Given :

[tex]\rm f(x) = \sqrt{x+5}[/tex]

The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:

Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].

Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.

Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.

For more information, refer to the link given below:

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Answer:

Total distance = 30 m

Step-by-step explanation:

Given:

AC : EC = 1:1

AC = 4x − 3 and EC = 2x + 6

Find:

Total distance

Computation:

AC = EC

So,

4x - 3 = 2x + 6

2x = 9

x = 4.5

AC = 4(4.5) - 3 = 15 m

EC = 2(4.5) + 6 = 15 m

Total distance = AC + EC

Total distance = 15 m + 15 m

Total distance = 30 m

The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m

Given that a new bridge structure requires triangles that are in a ratio of 1:1 with the following parameters

AC = 4x - 3

EC = 2x + 6

Since the measure are in the same ratio, henec;

AC = EC

4x - 3 = 2x + 6

4x - 2x = 6 + 3

2x = 9

x = 4.5

Get the

AC = EC = 4x - 3

AC = EC = 4(4.5) - 3 = 15feet

The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m\

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Answer:

5 Gello Pens and 12 Inko Pens.

12 Inko Pens adds up to 84.

5 Gello Pens adds up to 25.

84 + 25 = 109.

I hoped this helped :)

Answer:

f = 10/3

Step-by-step explanation:

-15 + 6f = 5

-15 + 15 + 6f = 5 + 15

6f = 20

6f/6 = 20/6

f = 20/6 = 10/3 = 3.333...

Answer:

10/3

Step-by-step explanation:

-15+6f=5

6f=5-(-15)

6f=5+15

6f=20

f=20/6

simplify

f=10/3

Answer:

.00002

Step-by-step explanation:

2 * 10 ^-5

Move the decimal 5 places to the left since the exponent is negative

2.

We will need to add zeros on the left  Add 4 zeros since we can move it one place already

.00002

Answer:

(D) 0.00002

Step-by-step explanation:

Let's first forget about the 2 in the expression and focus on [tex]10^{-5}[/tex].

If we have 10 to a positive number, that many times the decimal place will move to the right. It's the opposite for 10 to the power of a negative number.

The decimal place will move 5 places to the LEFT.

So:

[tex]0000010\\\\0.00001[/tex]

Now we remember the two, and multiply this by two to get 0.00002.

Hope this helped!

Answer:

B.

Step-by-step explanation:

A compound event is the combination of two or more simple events (with two or more outcomes). The probability of drawing a heart, replacing the card, then drawing a spade. In a compound event, the numerator ("number of times it can occur") will be greater than 1.

Answer:

the answer is c. One real number solution

Step-by-step explanation:

Hey There!!

I think the best answer will be is (D) 2.

Because, The discriminant is the expression b2 - 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has. If you get a positive number, the quadratic will have two unique solutions. Im not a 100% sure this right... Hope This helps!! By ~♡Itsbrazts~♡

Answer:

1/2

Step-by-step explanation:

1/2 + 4 ≤ 16

four more = +4

half a number = 1/2

at most means less or greater which is ≤

Answer:

0.5n + 4 ≤ 16

Step-by-step explanation:

add 4 to half of the unknown number (n). It is at most 16 (less than or equal to).

0.5n + 4 ≤ 16

Answer:

Time it takes to count the coins in your pocket

Step-by-step explanation:

Answer:

300 yards squared

Step-by-step explanation:

Triangle area = 12 x 5 / 2 = 30

2 Triangles (because there are two of them) = 60

Big rectangle = 8 x 13 = 104

Small Rectangle = 8 x 5 = 40

Medium Rectangle = 96

Add all up = 300

Hope that helped!!! k

Answer:

I DONT UNDERSTAND ANY OF THIS

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C)28in

Step-by-step explanation:

To get the area of this face, we will divide it into 3 sections.

Area of the 1st section:

Given:

l=4in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in^2

Area of the 2nd section:

Given:

l=2in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=2in*2in

a=4in^2

Area of the 3rd section:

l=8in

w=2in

Formula:

a=l*w

Solution:

a=l*w

a=8in*2in

a=16in^2

a1+a2+a3=Area of the face

8in^2+4in^2+16in^2=28in^2

Hope this helps ;) ❤❤❤

Answer:

3x^2 +x -3

Step-by-step explanation:

f(x)= 3 and g(x) = 3x^2+x-6

f+g (x) =  3+  3x^2+x-6

Combine like terms

          = 3x^2 +x -3

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

Answer:

0, 5, 9

Step-by-step explanation:

g(x) = 2x (x - 5)^2(x – 9) = 0

x = 0 or x - 5 = 0 or x - 9 = 0

x = 0 or x = 5 or x = 9

Answer:

Hey there!

For this question, we write a proportion.

[tex]\frac{40}{0.6}=\frac{250}{x}[/tex]

[tex]40x=150[/tex]

[tex]x=3.75[/tex]

Thus, the nurse to give the patient exactly 3.75 ml of the solution.

Let me know if this helps :)

The volume of the simethicone solution given by a nurse is 3.75 milliliters.

Given:

To find:

The milliliters of a solution to be given to the patient by a nurse.

Solution:

Mass of simethicone drug to be given = 250 mg

Let the volume of the solution with 250 mg of simethicone be x.

The concentration of simethicone in solution = 40 mg/0.6 mL

Mass of simethicone in 1 mL of solution:

[tex]40 mg/0.6 mL=\frac{40 mg}{0.6 mL}\\\\=\frac{400 mg}{6 mL}[/tex]

The mass of simethicone in 'x' mL of solution:

[tex]250 mg=x\times \frac{400 mg}{6 mL}\\\\x=\frac{250 mg\times 6 mL}{400 mg}\\\\x=3.75 mL[/tex]

The volume of the simethicone solution given by a nurse is 3.75 milliliters.

Learn more about the unitary method here:

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The conic section chosen is a parabola, and the attributes for graphing of

a parabola as well as the standard form of the equation are as follows;

Reasons:

Part A:

The equation of the conic section of a parabola is; (x - 3)² = 12·(y - 2)

The vertex form of the equation of a parabola is; y = a·(x - h)² + k

Where (h, k) = The vertex

Rearranging the given equation gives;

(x - 3)² = 12·y - 24

12·y - 24 = (x - 3)²

12·y = (x - 3)² + 24

[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + \frac{24}{12} = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]

[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]

Therefore, the vertex of the parabola, (h, k) = (3, 2)

At the y-intercept, x = 0, which gives;

[tex]\displaystyle y = \frac{1}{12} \cdot \left(0 - 3\right)^2 + 2 = \frac{9}{12} + 2 = 2+\frac{3}{4}[/tex]

[tex]\displaystyle y = 2+\frac{3}{4} = 2.75[/tex]

The y-intercept = (0, 2.75)

The x-intercept is given at the point where y = 0, which gives;

(x - 3)² = 12·(0 - 2) = -24

x - 3 = √(-24) = An imaginary number

Therefore, the graph has no x-intercept

Given that a parabola is symmetrical about the vertex, we have a third

point on the parabola at the image of the y-intercept reflected across the

axis of symmetry as follows;

The y-intercept (0, 2.75) is 3 units to the left of the axis of symmetry, x = 3,

therefore, the third point will be 3 units to the right of the axis of symmetry

at the point (3 + 3, 2.75) = (6, 2.75)

Therefore, using the three points, (0, 2.75), (3, 2), and (6, 2.75), the curve

representing the parabola, (x - 3)² = 12·(y - 2), can be drawn.

Please find attached the graph of the parabola created with MS Excel

Part B; Given the attributes of the parabola; Vertex: (4, 2) and focus: (3, 2), we have;

The focus of a parabola is the point (h + p, k)

Where, (h, k) = The vertex

Therefore, by comparison, we have;

(h, k) = (4, 2)

h + p = 3

Therefore;

4 + p = 3

p = 3 - 4 = -1

The vertex form of the equation of the parabola is; (y - k)² = 4·p·(x - h)

Therefore, we get;

(y - 2)² = 4 × (-1) × (x - 4) = -4·(x - 4)

y² - 4·y + 4 = 16 - 4·x

4·x = 16 - (y² - 4·y + 4) = -y² + 4·y + 12

Which gives, the standard form as follows;

[tex]\displaystyle x = -\frac{y^2}{4} + y + 3 = -0.25 \cdot y^2 + y + 3[/tex]

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Answer:

The approximate distance from Panthersville to Falconton is: B: 4.61 miles.

Step-by-step explanation:

Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)

First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )

-To find the distance between the two cities we use the distance formula:

d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.

Once we plug it in we get:

d= √(4 - -3)^2 + (8 - 2) ^2

Then we solve the numbers in the parenthesis  (4 - -3) = 7 and (8 - 2) = 6 so now we have:

d= √(7)^2 + (6) ^2

Next we solve for the exponents  (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:

d= √49 + 36

After that we just add both numbers together (49 + 36) = 85

d= √85

Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.

So the distance from Panthersville to Heel City is about 9.22 miles.

Now we found the full distance we now need to find the distance from  Panthersville to Falconton which is just half of that distance due to   Falconton being the midpoint.  

All we have to do is divide 9.22 by 2 and we get 4.61.

The distance from Panthersville to Falconton is 4.61 miles.

Answer:

x = 15

Step-by-step explanation:

9x-30 = 3x (tangent lines are congruent)

- move the variables to one side

9x-3x=30

6x=30

x=5

--------------

9(5)-30=3(15)

45-30=15

15=15

Done!

Answer:

1. Length of longest side of the triangle = 1,050 ft

2. Length = 437.5 ft

Step-by-step explanation:

Given:

Kate's strides average = 3.5 ft

Find:

1.longest side of the triangle

2.Distance must Kate paddle across the lake

Computation:

1.longest side of the triangle

longest side of the triangle = AE

So,

longest side of the triangle = 150 + 150

longest side of the triangle = 300

Length of longest side of the triangle = 300 × 3.5 ft

1. Length of longest side of the triangle = 1,050 ft

2.Distance must Kate paddle across the lake.

We know that,

ΔABD ~ ΔACE

So,

AB / AC = BD / CE

80 / 160 = BD / 250

BD = 125 Strides

Length = 125 × 3.5 ft

2. Length = 437.5 ft

Answer:

50,000,000

Step-by-step explanation:

5 * 10 ^7

The 7 in the exponent means move the decimal 7 places to the right

5.  We need to add 7 zeros

50000000

50,000,000